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This is used to get real denominators in complex fractions.
As another example, one might consider the complex fractions.
For example, and are complex fractions.
While large and legible, these can be disruptive, particularly for simple fractions or within complex fractions.
The terms compound fraction and complex fraction are closely related and sometimes one is used as a synonym for the other.
To reduce a complex fraction to a simple fraction, treat the longest fraction line as representing division.
A complex fraction is a fraction whose numerator or denominator, or both, contains a fraction.
If, in a complex fraction, there is no clear way to tell which fraction line takes precedence, then the expression is improperly formed, and meaningless.
In a complex fraction, either the numerator, or the denominator, or both, is a fraction or a mixed number, corresponding to division of fractions.
Numerators and denominators are also used in fractions that are not simple, including compound fractions, complex fractions, and mixed numerals.
In this case, the DNA-cleavage pattern derived from the complexed fraction will closely resemble that of the uncomplexed DNA.
Or Susan Forman's Math 06 class in algebra and geometry, where they work on factoring, complex fractions and other subjects required for majoring in technical fields.
He had to build his own instruments to make music with pure frequency ratios (not the complex fractions represented by intervals on the equal-tempered piano), and to leave behind the Western tradition.
As one adds more and more irrational roots of unity to the complex fractions, they converge to a finer topology, and one arrives at interesting symmetries in number theory.
Simple fractions can sound more harmonious than complex fractions; for instance an octave is a simple 2:1 ratio and a fifth, also concordant is the relatively simple 3:2 ratio.
Having had a one-day introduction to complex fractions, for example, they were asked to simplify (AB -1) : (1+ AB) by the end of a 40-minute class, and most were able to do it.
But after a few faulty starts, it was smooth going as he scribbled down the common denominator, simplified the complex fractions and neatly wrote out the correct answer, all while explaining his reasoning behind each step with a clarity that would have made Diophantus, the third-century Greek founder of algebra, proud.
This allows determination of purines protected from methylation (and therefore underrepresented in the complexed fraction) and indicates a close proximity of proteins to the bound DNA in the near vicinity or even at the N-7 or the N-3 atoms of these guanine and adenine moieties.